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Finding the Fourth Proportional to 65.34, 98.03 and 24.77

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Solution

The fourth proportional to 65.34, 98.03 and 24.77 is: 37.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 98.03 = 24.77 : x
  2. Step 2: Convert to fraction form
    65.34/98.03 = 24.77/x
  3. Step 3: Cross multiply
    65.34x = 98.03 × 24.77
  4. Step 4: Simplify right side
    65.34x = 2,428.20
  5. Step 5: Solve for x
    x = 2,428.20/65.34
  6. Step 6: Final answer
    x = 37.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.